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Finding the Third Proportional to 429,322.50 and 932,456.25

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Solution

The third proportional to 429,322.50 and 932,456.25 is: 2,025,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,322.50 : 932,456.25 = 932,456.25 : x
  2. Step 2: Convert to fraction form
    429,322.50/932,456.25 = 932,456.25/x
  3. Step 3: Cross multiply
    429,322.50x = 932,456.25 × 932,456.25
  4. Step 4: Simplify right side
    429,322.50x = 869,474,658,164.06
  5. Step 5: Solve for x
    x = 869,474,658,164.06/429,322.50
  6. Step 6: Final answer
    x = 2,025,225.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.